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We consider three-body recombination into deep dimers in a mass-imbalanced two-component atomic gas. We use an optical model where a phenomenological imaginary potential is added to the lowest adiabatic hyper-spherical potential. The…

Quantum Gases · Physics 2015-03-24 M. Mikkelsen , A. S. Jensen , D. V. Fedorov , N. T. Zinner

This work analyzes the three and four equal-mass fermionic systems near and at the $s$- and $p$-wave unitary limits using hyperspherical methods. The unitary regime addressed here is where the two-body dimer energy is at zero energy. For…

Atomic Physics · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

We investigate a mixture of ultracold fermionic $^{40}$K atoms and weakly bound $^{6}$Li$^{40}$K dimers on the repulsive side of a heteronuclear atomic Feshbach resonance. By radio-frequency spectroscopy we demonstrate that the normally…

Recent experiments on atom loss in ultra-cold Fermi gases all show a maximum at a magnetic field below Feshbach resonance, where the s-wave scattering length is large (close to inter-particle distance) and positive. These experiments have…

Quantum Gases · Physics 2015-05-27 Shizhong Zhang , Tin-Lun Ho

Fermi-LAT has confirmed the excess in cosmic positron fraction observed by PAMELA, which could be explained by dark matter annihilating or decaying in the center of the galaxy. Most existing models postulate that the dark matter annihilates…

High Energy Physics - Phenomenology · Physics 2015-06-05 Hsin-Chia Cheng , Wei-Chih Huang , Ian Low , Gabe Shaughnessy

We study the universality of the three-body parameters for systems relevant for ultracold quantum gases with positive $s$-wave two-body scattering lengths. Our results account for finite-range effects and their universality is tested by…

Atomic Physics · Physics 2017-04-05 Paul M. A. Mestrom , Jia Wang , Chris H. Greene , Jose P. D'Incao

When the scattering length is proportional to the distance from the center of the system, two particles are shown to be trapped about the center. Furthermore, their spectrum exhibits discrete scale invariance, whose scale factor is…

Quantum Gases · Physics 2015-03-20 Yusuke Nishida , Dean Lee

Dilute Fermi systems with large s-wave scattering length a_s exhibit universal properties if the interparticle spacing r_o greatly exceeds the range of the underlying two-body interaction potential. In this regime, r_o is the only relevant…

Other Condensed Matter · Physics 2007-05-23 Ryan M. Kalas , D. Blume

We consider systems of two-component fermions with unequal masses and interacting via a short-range attractive potential. We discuss the case where the two-component fermions form a shallow dimer with large scattering length. The…

Nuclear Theory · Physics 2018-06-25 Serdar Elhatisari

We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result…

Quantum Gases · Physics 2024-01-25 Shimpei Endo , Yvan Castin

We derive exact general relations between various observables for N bosons with zero-range interactions, in two or three dimensions, in an arbitrary external potential. Some of our results are analogous to relations derived previously for…

Quantum Gases · Physics 2017-05-31 Félix Werner , Yvan Castin

In the strong-coupling BEC region where a Feshbach resonance gives rise to tightly-bound dimer molecules, we show that a spin-polarized Fermi superfluid reduces to a simple Bose-Fermi mixture of Bose-condensed dimers and the leftover…

Other Condensed Matter · Physics 2008-12-12 E. Taylor , A. Griffin , Y. Ohashi

We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modelling a narrow Feshbach resonance within a two-channel description, we map the integral equation for…

Other Condensed Matter · Physics 2008-04-17 Alexander O. Gogolin , Christophe Mora , Reinhold Egger

We study the scattering of a light particle on a bound pair of heavy particles (e.g., the deuteron) within the fixed center approximation in the case of light-heavy attraction, solving the integral equation for the three-body Green's…

Nuclear Theory · Physics 2016-12-08 Alexander E. Kudryavtsev , Vakhid A. Gani , Alexander I. Romanov

In a system of ultracold atoms near a Feshbach resonance, pairs of atoms can be associated into universal dimers by an oscillating magnetic field with frequency near that determined by the dimer binding energy. We present a simple…

Quantum Gases · Physics 2015-03-18 Christian Langmack , D. Hudson Smith , Eric Braaten

Near a Feshbach resonance, the two-body scattering length can assume any value. When it approaches zero, the next-order term given by the effective range is known to diverge. We consider the question of whether this divergence (and the…

Quantum Gases · Physics 2013-04-19 N. T. Zinner

The phase diagrams of low density Fermi-Fermi mixtures with equal or unequal masses and equal or unequal populations are described at zero and finite temperatures in the strong attraction limit. In this limit, the Fermi-Fermi mixture can be…

Superconductivity · Physics 2009-11-13 M. Iskin , C. A. R. Sa de Melo

Achieving precise control of ultracold atomic gases requires a detailed understanding of atom loss mechanisms. Motivated by the anomalous three-body decay in a three-component Fermi gas reported in Ref. [1], this work investigates…

Quantum Gases · Physics 2026-01-08 Kajsa-My Tempest , Chris H. Greene

The low-energy scattering properties of two aligned identical bosonic and identical fermionic dipoles are analyzed. Generalized scattering lengths are determined as functions of the dipole moment and the scattering energy. Near resonance,…

Other Condensed Matter · Physics 2009-11-13 K. Kanjilal , D. Blume

We study the three-body system with short-range interactions characterized by an unnaturally large two-body scattering length. We show that the off-shell scattering amplitude is cutoff independent up to power corrections. This allows us to…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , Thomas Mehen
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